Based on the picture above,
The theorem or postulate that justifies that Angle HEF ~ angle HGE is :
A. AA similarity postulate
(s is used for equal side, that is used for congruent)
hope this helps
Answer:
x = 8
Step-by-step explanation:
All the sides are equal. So, it is an equilateral triangle. So, all angles are 60 each
6x + 12 = 60
6x = 60 - 12
6x = 48
x = 48/6
x = 8
Answer:
m∠C = 38° (nearest whole number).
Step-by-step explanation:
To find the missing angle, use the Sine Rule.
<u>Sine Rule</u> (for angles)

where:
- A, B and C are the angles
- a, b and c are the sides opposite the angles
Given:
To find m∠C, substitute the given values into the formula and solve for C:




Therefore, m∠C = 38° (nearest whole number).
Learn more about the sine rule here:
brainly.com/question/27089170
brainly.com/question/27704834
Since they are the conjugates of each (9-a and 9+a are conjugates, or with any number replacing 9) , we multiply it by (9+i)/(9+i) to get (9+i)^2/(9-i^2)=(81+2i+i^2)/(9-(-1))=(81-1+2i)/(10)=80/10+2i/10=8+i/5. Conjugates work because they make i into i^2 (-1) without any of the sneaky i's in the middle!